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August 28th, 2013, 07:43 PM  #1 
Newbie Joined: Aug 2013 Posts: 7 Thanks: 0  How to show the standard distance in R^n is a metric space
How do I show that the standard distance in R^n is a metric space? is a metric on ? I know that I need to show the definition of a metric to prove this like symmetry, triangle inequality, and nonnegative but I do not know how exactly to do that? It seems obvious but I don't know how to formally prove it. 
August 29th, 2013, 02:43 PM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 5  Re: How to show the standard distance in R^n is a metric spa Quote:
 
August 29th, 2013, 05:24 PM  #3 
Newbie Joined: Aug 2013 Posts: 7 Thanks: 0  Re: How to show the standard distance in R^n is a metric spa
Thanks HallsofIvy! I should make a better effort to always look back at the definition.


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